Difficult (I think) Q I posted over in the poker theory forum

eastbay · #1 10-08-2005, 03:42 AM

I'm not even sure I have the right answer, but I do have an answer.

NL, HU game theory Q

lorinda · #2 10-08-2005, 03:46 AM

My first instinct is that I feel like the house has the edge in this game as they have position ever hand. I want a decent size stack compared to the house and small compared to the blinds.

Lori

lorinda · #3 10-08-2005, 03:49 AM

Argh.

I think that if the blinds are small enough that the house has no other strategy than to call, then we can have an edge as we are the only ones who have a decision to make.

I'm going to guess that with equal stacks of around 500 chips each (or whatever the correct stack is to make folding 23o correct) then we can have an edge.

Lori

lorinda · #4 10-08-2005, 03:52 AM

My range of stacks where I believe I could have an edge is therefore <Whatever range is required so that the house always have to call if we play, but that we sometimes are able to fold>

Lori

eastbay · #5 10-08-2005, 03:56 AM

[ QUOTE ]
My range of stacks where I believe I could have an edge is therefore <Whatever range is required so that the house always have to call if we play, but that we sometimes are able to fold>

Lori

[/ QUOTE ]

Your intuition about wanting a stack which is some smallish multiple of the blinds is correct according to my solution.

However, in my solution, at the point where the game is a wash, both players have hands that they will play and pass on.

eastbay

lorinda · #6 10-08-2005, 03:57 AM

Please excuse the thinking out loud.

I believe it's possible to have bigger stacks than my initial range, but I'm not sure how to quantify that and suspect I will now be slowing down my post rate [img]/images/graemlins/wink.gif[/img]

Lori

bawcerelli · #7 10-08-2005, 04:06 AM

if the house is playing "ICM" perfect, how can you have an edge? seems like stack sizes and blinds don't matter other than affecting what's pushed. then again i'm probably missing something.

Jman28 · #8 10-08-2005, 04:26 AM

This would take a lot of work to figure out. My intuition though is that there definitely is a stack size where the player has an edge.

eastbay · #9 10-08-2005, 04:28 AM

[ QUOTE ]
This would take a lot of work to figure out. My intuition though is that there definitely is a stack size where the player has an edge.

[/ QUOTE ]

Confession: this took several evenings with a computer and the latest papers on computational AI to get the answer I arrived at.

I'm wondering if someone smarter than me can arrive at a similar answer in a more intuitive way.

I'm also not 100% sure my answer is correct, so if some other computer geek wants to duplicate it using the full blown analysis I did, that would be cool too. [img]/images/graemlins/wink.gif[/img]

eastbay

Jman28 · #10 10-08-2005, 04:31 AM

[ QUOTE ]

I'm wondering if someone smarter than me can arrive at a similar answer in a more intuitive way.

[/ QUOTE ]

Man, I gotta wake up tomorrow and go to a wedding. This sounds like a challenge though. Damnit. I may or may not try and figure this out tonight.

EDIT: 2k posts even. Hmm. Yay?